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Finding the Fourth Proportional to 31,026.27, 46,542.78 and 9,961.41

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Solution

The fourth proportional to 31,026.27, 46,542.78 and 9,961.41 is: 14,943.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,026.27 : 46,542.78 = 9,961.41 : x
  2. Step 2: Convert to fraction form
    31,026.27/46,542.78 = 9,961.41/x
  3. Step 3: Cross multiply
    31,026.27x = 46,542.78 × 9,961.41
  4. Step 4: Simplify right side
    31,026.27x = 463,631,714.12
  5. Step 5: Solve for x
    x = 463,631,714.12/31,026.27
  6. Step 6: Final answer
    x = 14,943.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.